Exponent Rules

Front

What is the Quotient Rule for exponents?

Back

When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

How do you multiply powers with the same base?

Back

Add their exponents: a^m * a^n = a^(m+n).

Front

Simplify: (2^3)(2^2)

Back

2^(3+2) = 2^5.

Front

What does the Division Law state?

Back

Keep the base the same and subtract the exponents when dividing: a^m / a^n = a^(m-n).

Front

Simplify: r^6 ⋅ r^2 ⋅ r^3

Back

r^(6+2+3) = r^11.

Front

What is the result of 2^4 / 2^2?

Back

2^(4-2) = 2^2.

Front

If a^0 = 1, what is the value of 5^0?

Back

5^0 = 1.

Front

What is the power of a product rule?

Back

(ab)^n = a^n * b^n.

Front

Simplify: (x^3y^2)(xy^4)

Back

x^(3+1)y^(2+4) = x^4y^6.

Front

What is the power of a power rule?

Back

(a^m)^n = a^(m*n).